A hierarchical method for discrete structural topology design problems with local stress and displacement constraints

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    In this paper, we present a hierarchical optimization method for finding feasible true 0-1 solutions to finite-element-based topology design problems. The topology design problems are initially modelled as non-convex mixed 0-1 programs. The hierarchical optimization method is applied to the problem of minimizing the weight of a structure subject to displacement and local design-dependent stress constraints. The method iteratively treats a sequence of problems of increasing size of the same type as the original problem. The problems are defined on a design mesh which is initially coarse and then successively refined as needed. At each level of design mesh refinement, a neighbourhood optimization method is used to treat the problem considered. The non-convex topology design problems are equivalently reformulated as convex all-quadratic mixed 0-1 programs. This reformulation enables the use of methods from global optimization, which have only recently become available, for solving the problems in the sequence. Numerical examples of topology design problems of continuum structures with local stress and displacement constraints are presented.
    Original languageEnglish
    JournalInternational Journal for Numerical Methods in Engineering
    Volume69
    Issue number5
    Pages (from-to)1060-1084
    ISSN0029-5981
    DOIs
    Publication statusPublished - 2007

    Fingerprint Dive into the research topics of 'A hierarchical method for discrete structural topology design problems with local stress and displacement constraints'. Together they form a unique fingerprint.

    Cite this